Latest self Aptitude Question SOLUTION: 103,102,113,112. Above numbers are special square numbers. Tell Why?

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(#M40009055) SELF question Square Numbers Keep an EYE

103,102,113,112.
Above numbers are special square numbers. Tell Why?

Vignesh (12 years ago)

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Pargat Pal Singh  (12 years ago)

Digits in Their squares can be arranged to get atleast 3 perfect squares.

103^2= 10609....1, 100,16,9
102^2= 10404.... 1,4,100,144
113^2= 12769 .... 1,16,9,169
112^2 = 12544.... 1,4,25,144

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Rakesh Kumar Kohli  (12 years ago)

Ans. Sum of digits of the squares of these numbers are squares.
Explanation:
103^2= 10609 => Sum of digits is 1+0+6+0+9 = 16, which is a perfect square.
102^2= 10404 => Sum of digits is 1+0+4+0+4 = 9, which is a perfect square.
113^2= 12769 => Sum of digits is 1+2+7+6+9 = 25, which is a perfect square.
112^2= 12544 => Sum of digits is 1+2+5+4+4 = 16 which is a perfect square.

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